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The Kadison-Singer and Paulsen Problems in Finite Frame Theory

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32 Peter G. Casazza11. K. Berman, H. Halpern, V. Kaftal <strong>and</strong> G. Weiss, Matrix norm <strong>in</strong>equalities <strong>and</strong>the relative Dixmier property, Integral Equations <strong>and</strong> Operator <strong>The</strong>ory 11 (1988)28–48.12. J. Bourga<strong>in</strong> <strong>and</strong> L. Tzafriri, Invertibility of “large” submatrices <strong>and</strong> applicationsto the geometry of Banach spaces <strong>and</strong> Harmonic Analysis, Israel Journal ofMathematics 57 (1987) 137–224.13. J. Bourga<strong>in</strong> <strong>and</strong> L. Tzafriri, On a problem of <strong>Kadison</strong> <strong>and</strong> <strong>S<strong>in</strong>ger</strong>, J. Re<strong>in</strong>eAngew Mathematics 420 (1991), 1–43.14. J. Cahill <strong>and</strong> P.G. Casazza, <strong>The</strong> <strong>Paulsen</strong> Problem <strong>in</strong> operator theory, Prepr<strong>in</strong>t.15. P. G. Casazza, Custom build<strong>in</strong>g f<strong>in</strong>ite frames. <strong>in</strong>: Wavelets, <strong>Frame</strong>s <strong>and</strong> Operator<strong>The</strong>ory (College Park, MD, 2003), Contemporary Mathematics 345, AmericanMathematical Society, Providence, RI, (2004) 61–86.16. P.G. Casazza, O. Christensen, A. L<strong>in</strong>dner <strong>and</strong> R. Vershyn<strong>in</strong>, <strong>Frame</strong>s <strong>and</strong> theFeicht<strong>in</strong>ger conjecture, Proceed<strong>in</strong>gs of AMS, 133 No. 4 (2005) 1025–1033.17. P.G. Casazza <strong>and</strong> D. Edid<strong>in</strong>, Equivalents of the <strong>Kadison</strong>-<strong>S<strong>in</strong>ger</strong> Problem, ContemporaryMathematics Vol. 435 (2007) 123-142.18. P.G. Casazza, D. Edid<strong>in</strong>, D. 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Kutyniok, A generalization of Gram Schmidt orthogonalizationgenerat<strong>in</strong>g all Parseval frames. Advances <strong>in</strong> Computational Mathematics,18 (2007), 65-78.23. P.G. Casazza, G. Kutyniok <strong>and</strong> D. Speegle, A decomposition theorem for frames<strong>and</strong> the Feicht<strong>in</strong>ger Conjecture, Proceed<strong>in</strong>gs of AMS 136 (2008) pp. 2043-2053.24. P.G. Casazza <strong>and</strong> G. Pf<strong>and</strong>er, An <strong>in</strong>f<strong>in</strong>ite dimensional restricted <strong>in</strong>vertibilitytheorem, Prepr<strong>in</strong>t.25. P.G. Casazza <strong>and</strong> G. Pf<strong>and</strong>er, A two-sided algorithm for the restricted <strong>in</strong>vertibilitytheorem, Prepr<strong>in</strong>t.26. P.G. Casazza <strong>and</strong> J.C. 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